274968 has 64 divisors (see below), whose sum is σ = 816000. Its totient is φ = 85536.

The previous prime is 274961. The next prime is 274973. The reversal of 274968 is 869472.

274968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4071 + ... + 4137.

It is an arithmetic number, because the mean of its divisors is an integer number (12750).

2²⁷⁴⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408000).

274968 is an abundant number, since it is smaller than the sum of its proper divisors (541032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

274968 is a wasteful number, since it uses less digits than its factorization.

274968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 91 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 274968 is about 524.3739123946. The cubic root of 274968 is about 65.0270498856.

The spelling of 274968 in words is "two hundred seventy-four thousand, nine hundred sixty-eight".